285438816 has 240 divisors, whose sum is σ = 929762064. Its totient is φ = 85349376.

The previous prime is 285438799. The next prime is 285438821. The reversal of 285438816 is 618834582.

285438816 is a `hidden beast` number, since 28 + 543 + 8 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448830 + ... + 1449026.

Almost surely, 2^285438816 is an apocalyptic number.

285438816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464881032).

285438816 is an abundant number, since it is smaller than the sum of its proper divisors (644323248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285438816 is a wasteful number, since it uses less digits than its factorization.

285438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 285438816 is about 16894.9346255024. The cubic root of 285438816 is about 658.4220153496.

The spelling of 285438816 in words is "two hundred eighty-five million, four hundred thirty-eight thousand, eight hundred sixteen".